Question

What is the justification for each step in solving the inequality? 3x+1/2<−x+4 Select from the drop-down menus to correctly justify each step.

Answer 1

Multiplication property.

Subtraction property.

Addition property.

Division property.

Answer 2

see below

Explanation:

(3x+1)/2<−x+4

Multiply each side by 2 using the multiplication property of equality

3x+1 < -2x +8

Subtract 1 from each side using the subtraction property of equality

3x < -2x+7

Add 2x to each side using the addition property of equality

5x < 7

Divide each side by 5 using the division property of equality

x < 7/5